NO proof of prog.inttrs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given IRSwT could be disproven: (0) IRSwT (1) IRSFormatTransformerProof [EQUIVALENT, 0 ms] (2) IRSwT (3) IRSwTTerminationDigraphProof [EQUIVALENT, 9346 ms] (4) IRSwT (5) IntTRSCompressionProof [EQUIVALENT, 12 ms] (6) IRSwT (7) FilterProof [EQUIVALENT, 0 ms] (8) IntTRS (9) IntTRSPeriodicNontermProof [COMPLETE, 6 ms] (10) NO ---------------------------------------- (0) Obligation: Rules: l0(___rho_1_HAT0, ___rho_2_HAT0, ___rho_4_HAT0, ___rho_5_HAT0, ___rho_6_HAT0, ___rho_7_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) -> l1(___rho_1_HATpost, ___rho_2_HATpost, ___rho_4_HATpost, ___rho_5_HATpost, ___rho_6_HATpost, ___rho_7_HATpost, a22HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a22HAT0 = a22HATpost && ___rho_7_HAT0 = ___rho_7_HATpost && ___rho_6_HAT0 = ___rho_6_HATpost && ___rho_5_HAT0 = ___rho_5_HATpost && ___rho_4_HAT0 = ___rho_4_HATpost && ___rho_2_HAT0 = ___rho_2_HATpost && ___rho_1_HAT0 = ___rho_1_HATpost && got_SIGHUPHAT0 <= 0 l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) -> l2(x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) :|: x11 = x23 && x9 = x21 && x7 = x19 && x5 = x17 && x4 = x16 && x2 = x14 && x1 = x13 && x = x12 && x22 = x15 && x15 = x15 && x18 = 1 && x20 = 0 && 1 <= x8 l3(x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35) -> l4(x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47) :|: x35 = x47 && x34 = x46 && x33 = x45 && x32 = x44 && x31 = x43 && x30 = x42 && x29 = x41 && x28 = x40 && x27 = x39 && x26 = x38 && x25 = x37 && x24 = x36 l5(x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59) -> l6(x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71) :|: x59 = x71 && x58 = x70 && x57 = x69 && x56 = x68 && x55 = x67 && x54 = x66 && x53 = x65 && x52 = x64 && x51 = x63 && x50 = x62 && x49 = x61 && x48 = x60 l7(x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83) -> l5(x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95) :|: x83 = x95 && x82 = x94 && x81 = x93 && x80 = x92 && x79 = x91 && x78 = x90 && x77 = x89 && x76 = x88 && x75 = x87 && x73 = x85 && x72 = x84 && x86 = x86 l8(x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107) -> l7(x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119) :|: x107 = x119 && x106 = x118 && x105 = x117 && x104 = x116 && x103 = x115 && x102 = x114 && x101 = x113 && x100 = x112 && x99 = x111 && x98 = x110 && x97 = x109 && x96 = x108 && 1 + x103 - x105 <= 1000 l8(x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131) -> l7(x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143) :|: x130 = x142 && x129 = x141 && x128 = x140 && x127 = x139 && x126 = x138 && x125 = x137 && x124 = x136 && x123 = x135 && x122 = x134 && x121 = x133 && x120 = x132 && x143 = 1 && 1000 <= x127 - x129 l9(x144, x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155) -> l7(x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167) :|: x155 = x167 && x154 = x166 && x153 = x165 && x152 = x164 && x151 = x163 && x150 = x162 && x149 = x161 && x148 = x160 && x147 = x159 && x146 = x158 && x145 = x157 && x144 = x156 && 1 <= x155 l9(x168, x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179) -> l8(x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x179 = x191 && x178 = x190 && x177 = x189 && x176 = x188 && x174 = x186 && x172 = x184 && x171 = x183 && x170 = x182 && x169 = x181 && x168 = x180 && x187 = x185 && x185 = x185 && x179 <= 0 l6(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) -> l10(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215) :|: x203 = x215 && x202 = x214 && x201 = x213 && x200 = x212 && x199 = x211 && x198 = x210 && x197 = x209 && x196 = x208 && x195 = x207 && x194 = x206 && x193 = x205 && x192 = x204 l10(x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227) -> l6(x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239) :|: x227 = x239 && x226 = x238 && x225 = x237 && x224 = x236 && x223 = x235 && x222 = x234 && x221 = x233 && x220 = x232 && x219 = x231 && x218 = x230 && x217 = x229 && x216 = x228 l1(x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251) -> l9(x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263) :|: x251 = x263 && x250 = x262 && x249 = x261 && x248 = x260 && x247 = x259 && x246 = x258 && x245 = x257 && x244 = x256 && x243 = x255 && x242 = x254 && x241 = x253 && x240 = x252 && x251 <= 0 l1(x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275) -> l9(x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287) :|: x274 = x286 && x272 = x284 && x271 = x283 && x270 = x282 && x269 = x281 && x267 = x279 && x266 = x278 && x265 = x277 && x264 = x276 && x285 = x280 && x280 = x280 && x287 = 0 && 1 <= x275 l2(x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299) -> l1(x300, x301, x302, x303, x304, x305, x306, x307, x308, x309, x310, x311) :|: x299 = x311 && x298 = x310 && x297 = x309 && x296 = x308 && x295 = x307 && x294 = x306 && x293 = x305 && x292 = x304 && x291 = x303 && x290 = x302 && x289 = x301 && x288 = x300 && 1 <= x298 l2(x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322, x323) -> l5(x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) :|: x323 = x335 && x322 = x334 && x321 = x333 && x320 = x332 && x319 = x331 && x318 = x330 && x317 = x329 && x316 = x328 && x315 = x327 && x314 = x326 && x313 = x325 && x312 = x324 && x322 <= 0 l11(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347) -> l0(x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359) :|: x360 = 1 && x348 = x348 && x356 = x337 && x359 = 1 && x337 = x349 && x338 = x350 && x339 = x351 && x340 = x352 && x341 = x353 && x342 = x354 && x343 = x355 && x345 = x357 && x346 = x358 l12(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372) -> l11(x373, x374, x375, x376, x377, x378, x379, x380, x381, x382, x383, x384) :|: x372 = x384 && x371 = x383 && x370 = x382 && x369 = x381 && x368 = x380 && x367 = x379 && x366 = x378 && x365 = x377 && x364 = x376 && x363 = x375 && x362 = x374 && x361 = x373 Start term: l12(___rho_1_HAT0, ___rho_2_HAT0, ___rho_4_HAT0, ___rho_5_HAT0, ___rho_6_HAT0, ___rho_7_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) ---------------------------------------- (1) IRSFormatTransformerProof (EQUIVALENT) Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %). ---------------------------------------- (2) Obligation: Rules: l0(___rho_1_HAT0, ___rho_2_HAT0, ___rho_4_HAT0, ___rho_5_HAT0, ___rho_6_HAT0, ___rho_7_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) -> l1(___rho_1_HATpost, ___rho_2_HATpost, ___rho_4_HATpost, ___rho_5_HATpost, ___rho_6_HATpost, ___rho_7_HATpost, a22HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a22HAT0 = a22HATpost && ___rho_7_HAT0 = ___rho_7_HATpost && ___rho_6_HAT0 = ___rho_6_HATpost && ___rho_5_HAT0 = ___rho_5_HATpost && ___rho_4_HAT0 = ___rho_4_HATpost && ___rho_2_HAT0 = ___rho_2_HATpost && ___rho_1_HAT0 = ___rho_1_HATpost && got_SIGHUPHAT0 <= 0 l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) -> l2(x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) :|: x11 = x23 && x9 = x21 && x7 = x19 && x5 = x17 && x4 = x16 && x2 = x14 && x1 = x13 && x = x12 && x22 = x15 && x15 = x15 && x18 = 1 && x20 = 0 && 1 <= x8 l3(x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35) -> l4(x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47) :|: x35 = x47 && x34 = x46 && x33 = x45 && x32 = x44 && x31 = x43 && x30 = x42 && x29 = x41 && x28 = x40 && x27 = x39 && x26 = x38 && x25 = x37 && x24 = x36 l5(x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59) -> l6(x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71) :|: x59 = x71 && x58 = x70 && x57 = x69 && x56 = x68 && x55 = x67 && x54 = x66 && x53 = x65 && x52 = x64 && x51 = x63 && x50 = x62 && x49 = x61 && x48 = x60 l7(x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83) -> l5(x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95) :|: x83 = x95 && x82 = x94 && x81 = x93 && x80 = x92 && x79 = x91 && x78 = x90 && x77 = x89 && x76 = x88 && x75 = x87 && x73 = x85 && x72 = x84 && x86 = x86 l8(x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107) -> l7(x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119) :|: x107 = x119 && x106 = x118 && x105 = x117 && x104 = x116 && x103 = x115 && x102 = x114 && x101 = x113 && x100 = x112 && x99 = x111 && x98 = x110 && x97 = x109 && x96 = x108 && 1 + x103 - x105 <= 1000 l8(x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131) -> l7(x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143) :|: x130 = x142 && x129 = x141 && x128 = x140 && x127 = x139 && x126 = x138 && x125 = x137 && x124 = x136 && x123 = x135 && x122 = x134 && x121 = x133 && x120 = x132 && x143 = 1 && 1000 <= x127 - x129 l9(x144, x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155) -> l7(x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167) :|: x155 = x167 && x154 = x166 && x153 = x165 && x152 = x164 && x151 = x163 && x150 = x162 && x149 = x161 && x148 = x160 && x147 = x159 && x146 = x158 && x145 = x157 && x144 = x156 && 1 <= x155 l9(x168, x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179) -> l8(x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x179 = x191 && x178 = x190 && x177 = x189 && x176 = x188 && x174 = x186 && x172 = x184 && x171 = x183 && x170 = x182 && x169 = x181 && x168 = x180 && x187 = x185 && x185 = x185 && x179 <= 0 l6(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) -> l10(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215) :|: x203 = x215 && x202 = x214 && x201 = x213 && x200 = x212 && x199 = x211 && x198 = x210 && x197 = x209 && x196 = x208 && x195 = x207 && x194 = x206 && x193 = x205 && x192 = x204 l10(x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227) -> l6(x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239) :|: x227 = x239 && x226 = x238 && x225 = x237 && x224 = x236 && x223 = x235 && x222 = x234 && x221 = x233 && x220 = x232 && x219 = x231 && x218 = x230 && x217 = x229 && x216 = x228 l1(x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251) -> l9(x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263) :|: x251 = x263 && x250 = x262 && x249 = x261 && x248 = x260 && x247 = x259 && x246 = x258 && x245 = x257 && x244 = x256 && x243 = x255 && x242 = x254 && x241 = x253 && x240 = x252 && x251 <= 0 l1(x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275) -> l9(x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287) :|: x274 = x286 && x272 = x284 && x271 = x283 && x270 = x282 && x269 = x281 && x267 = x279 && x266 = x278 && x265 = x277 && x264 = x276 && x285 = x280 && x280 = x280 && x287 = 0 && 1 <= x275 l2(x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299) -> l1(x300, x301, x302, x303, x304, x305, x306, x307, x308, x309, x310, x311) :|: x299 = x311 && x298 = x310 && x297 = x309 && x296 = x308 && x295 = x307 && x294 = x306 && x293 = x305 && x292 = x304 && x291 = x303 && x290 = x302 && x289 = x301 && x288 = x300 && 1 <= x298 l2(x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322, x323) -> l5(x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) :|: x323 = x335 && x322 = x334 && x321 = x333 && x320 = x332 && x319 = x331 && x318 = x330 && x317 = x329 && x316 = x328 && x315 = x327 && x314 = x326 && x313 = x325 && x312 = x324 && x322 <= 0 l11(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347) -> l0(x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359) :|: x360 = 1 && x348 = x348 && x356 = x337 && x359 = 1 && x337 = x349 && x338 = x350 && x339 = x351 && x340 = x352 && x341 = x353 && x342 = x354 && x343 = x355 && x345 = x357 && x346 = x358 l12(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372) -> l11(x373, x374, x375, x376, x377, x378, x379, x380, x381, x382, x383, x384) :|: x372 = x384 && x371 = x383 && x370 = x382 && x369 = x381 && x368 = x380 && x367 = x379 && x366 = x378 && x365 = x377 && x364 = x376 && x363 = x375 && x362 = x374 && x361 = x373 Start term: l12(___rho_1_HAT0, ___rho_2_HAT0, ___rho_4_HAT0, ___rho_5_HAT0, ___rho_6_HAT0, ___rho_7_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) ---------------------------------------- (3) IRSwTTerminationDigraphProof (EQUIVALENT) Constructed termination digraph! Nodes: (1) l0(___rho_1_HAT0, ___rho_2_HAT0, ___rho_4_HAT0, ___rho_5_HAT0, ___rho_6_HAT0, ___rho_7_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) -> l1(___rho_1_HATpost, ___rho_2_HATpost, ___rho_4_HATpost, ___rho_5_HATpost, ___rho_6_HATpost, ___rho_7_HATpost, a22HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a22HAT0 = a22HATpost && ___rho_7_HAT0 = ___rho_7_HATpost && ___rho_6_HAT0 = ___rho_6_HATpost && ___rho_5_HAT0 = ___rho_5_HATpost && ___rho_4_HAT0 = ___rho_4_HATpost && ___rho_2_HAT0 = ___rho_2_HATpost && ___rho_1_HAT0 = ___rho_1_HATpost && got_SIGHUPHAT0 <= 0 (2) l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) -> l2(x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) :|: x11 = x23 && x9 = x21 && x7 = x19 && x5 = x17 && x4 = x16 && x2 = x14 && x1 = x13 && x = x12 && x22 = x15 && x15 = x15 && x18 = 1 && x20 = 0 && 1 <= x8 (3) l3(x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35) -> l4(x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47) :|: x35 = x47 && x34 = x46 && x33 = x45 && x32 = x44 && x31 = x43 && x30 = x42 && x29 = x41 && x28 = x40 && x27 = x39 && x26 = x38 && x25 = x37 && x24 = x36 (4) l5(x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59) -> l6(x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71) :|: x59 = x71 && x58 = x70 && x57 = x69 && x56 = x68 && x55 = x67 && x54 = x66 && x53 = x65 && x52 = x64 && x51 = x63 && x50 = x62 && x49 = x61 && x48 = x60 (5) l7(x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83) -> l5(x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95) :|: x83 = x95 && x82 = x94 && x81 = x93 && x80 = x92 && x79 = x91 && x78 = x90 && x77 = x89 && x76 = x88 && x75 = x87 && x73 = x85 && x72 = x84 && x86 = x86 (6) l8(x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107) -> l7(x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119) :|: x107 = x119 && x106 = x118 && x105 = x117 && x104 = x116 && x103 = x115 && x102 = x114 && x101 = x113 && x100 = x112 && x99 = x111 && x98 = x110 && x97 = x109 && x96 = x108 && 1 + x103 - x105 <= 1000 (7) l8(x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131) -> l7(x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143) :|: x130 = x142 && x129 = x141 && x128 = x140 && x127 = x139 && x126 = x138 && x125 = x137 && x124 = x136 && x123 = x135 && x122 = x134 && x121 = x133 && x120 = x132 && x143 = 1 && 1000 <= x127 - x129 (8) l9(x144, x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155) -> l7(x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167) :|: x155 = x167 && x154 = x166 && x153 = x165 && x152 = x164 && x151 = x163 && x150 = x162 && x149 = x161 && x148 = x160 && x147 = x159 && x146 = x158 && x145 = x157 && x144 = x156 && 1 <= x155 (9) l9(x168, x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179) -> l8(x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x179 = x191 && x178 = x190 && x177 = x189 && x176 = x188 && x174 = x186 && x172 = x184 && x171 = x183 && x170 = x182 && x169 = x181 && x168 = x180 && x187 = x185 && x185 = x185 && x179 <= 0 (10) l6(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) -> l10(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215) :|: x203 = x215 && x202 = x214 && x201 = x213 && x200 = x212 && x199 = x211 && x198 = x210 && x197 = x209 && x196 = x208 && x195 = x207 && x194 = x206 && x193 = x205 && x192 = x204 (11) l10(x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227) -> l6(x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239) :|: x227 = x239 && x226 = x238 && x225 = x237 && x224 = x236 && x223 = x235 && x222 = x234 && x221 = x233 && x220 = x232 && x219 = x231 && x218 = x230 && x217 = x229 && x216 = x228 (12) l1(x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251) -> l9(x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263) :|: x251 = x263 && x250 = x262 && x249 = x261 && x248 = x260 && x247 = x259 && x246 = x258 && x245 = x257 && x244 = x256 && x243 = x255 && x242 = x254 && x241 = x253 && x240 = x252 && x251 <= 0 (13) l1(x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275) -> l9(x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287) :|: x274 = x286 && x272 = x284 && x271 = x283 && x270 = x282 && x269 = x281 && x267 = x279 && x266 = x278 && x265 = x277 && x264 = x276 && x285 = x280 && x280 = x280 && x287 = 0 && 1 <= x275 (14) l2(x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299) -> l1(x300, x301, x302, x303, x304, x305, x306, x307, x308, x309, x310, x311) :|: x299 = x311 && x298 = x310 && x297 = x309 && x296 = x308 && x295 = x307 && x294 = x306 && x293 = x305 && x292 = x304 && x291 = x303 && x290 = x302 && x289 = x301 && x288 = x300 && 1 <= x298 (15) l2(x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322, x323) -> l5(x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) :|: x323 = x335 && x322 = x334 && x321 = x333 && x320 = x332 && x319 = x331 && x318 = x330 && x317 = x329 && x316 = x328 && x315 = x327 && x314 = x326 && x313 = x325 && x312 = x324 && x322 <= 0 (16) l11(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347) -> l0(x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359) :|: x360 = 1 && x348 = x348 && x356 = x337 && x359 = 1 && x337 = x349 && x338 = x350 && x339 = x351 && x340 = x352 && x341 = x353 && x342 = x354 && x343 = x355 && x345 = x357 && x346 = x358 (17) l12(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372) -> l11(x373, x374, x375, x376, x377, x378, x379, x380, x381, x382, x383, x384) :|: x372 = x384 && x371 = x383 && x370 = x382 && x369 = x381 && x368 = x380 && x367 = x379 && x366 = x378 && x365 = x377 && x364 = x376 && x363 = x375 && x362 = x374 && x361 = x373 Arcs: (1) -> (12), (13) (2) -> (14), (15) (4) -> (10) (5) -> (4) (6) -> (5) (7) -> (5) (8) -> (5) (9) -> (6), (7) (10) -> (11) (11) -> (10) (12) -> (9) (13) -> (9) (14) -> (12), (13) (15) -> (4) (16) -> (1), (2) (17) -> (16) This digraph is fully evaluated! ---------------------------------------- (4) Obligation: Termination digraph: Nodes: (1) l6(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) -> l10(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215) :|: x203 = x215 && x202 = x214 && x201 = x213 && x200 = x212 && x199 = x211 && x198 = x210 && x197 = x209 && x196 = x208 && x195 = x207 && x194 = x206 && x193 = x205 && x192 = x204 (2) l10(x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227) -> l6(x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239) :|: x227 = x239 && x226 = x238 && x225 = x237 && x224 = x236 && x223 = x235 && x222 = x234 && x221 = x233 && x220 = x232 && x219 = x231 && x218 = x230 && x217 = x229 && x216 = x228 Arcs: (1) -> (2) (2) -> (1) This digraph is fully evaluated! ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: l6(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0, x202:0, x203:0) -> l6(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0, x202:0, x203:0) :|: TRUE ---------------------------------------- (7) FilterProof (EQUIVALENT) Used the following sort dictionary for filtering: l6(VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE) Replaced non-predefined constructor symbols by 0. ---------------------------------------- (8) Obligation: Rules: l6(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0, x202:0, x203:0) -> l6(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0, x202:0, x203:0) :|: TRUE ---------------------------------------- (9) IntTRSPeriodicNontermProof (COMPLETE) Normalized system to the following form: f(pc, x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0, x202:0, x203:0) -> f(1, x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0, x202:0, x203:0) :|: pc = 1 && TRUE Witness term starting non-terminating reduction: f(1, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8) ---------------------------------------- (10) NO